Your 'cq_1_7.2' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
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An automobile rolls 10 meters down a constant incline with slope .05 in 8 seconds, starting from rest. The same automobile requires 5 seconds to roll the same distance down an incline with slope .10, again starting from rest.
• At what average rate is the automobile's acceleration changing with respect to the slope of the incline?
vAve = 10m/8s = 1.25m/s, vf = 2.5m/s, a = 2.5m/s / 8s = .3125m/s^2
vAve = 10m/5s = 2m/s, vf = 4m/s, a = 4m/s / 5s = .8 m/s^2
aAve = .556 m/s^2
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5 min
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Very good results for acceleration. Note that the reasoning you used here can be applied to the preceding 'seed' question.
'What is the general definition of average rate of change of A with respect to B?
'You are asked to find the average rate of change of acceleration with respect to slope.
'Applying to the definition, what is the quantity A, what is the quantity B, and how would you therefore find that average rate of change?